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Finding the Fourth Proportional to 464.76, 639.77 and 416.16

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Solution

The fourth proportional to 464.76, 639.77 and 416.16 is: 572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 639.77 = 416.16 : x
  2. Step 2: Convert to fraction form
    464.76/639.77 = 416.16/x
  3. Step 3: Cross multiply
    464.76x = 639.77 × 416.16
  4. Step 4: Simplify right side
    464.76x = 266,244.60
  5. Step 5: Solve for x
    x = 266,244.60/464.76
  6. Step 6: Final answer
    x = 572.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.